In a two-field BPS sine-Gordon model, static soliton solutions are numerically shown to exhibit very slow attraction or repulsion caused by numerical noise exciting extra zero modes.
Some aspects of self-duality and generalised BPS theories
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abstract
If a scalar field theory in (1+1) dimensions possesses soliton solutions obeying first order BPS equations, then, in general, it is possible to find an infinite number of related field theories with BPS solitons which obey closely related BPS equations. We point out that this fact may be understood as a simple consequence of an appropriately generalised notion of self-duality. We show that this self-duality framework enables us to generalize to higher dimensions the construction of new solitons from already known solutions. By performing simple field transformations our procedure allows us to relate solitons with different topological properties. We present several interesting examples of such solitons in two and three dimensions.
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hep-th 1years
2019 1verdicts
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Further comments on BPS systems
In a two-field BPS sine-Gordon model, static soliton solutions are numerically shown to exhibit very slow attraction or repulsion caused by numerical noise exciting extra zero modes.